87428352000 has 768 divisors, whose sum is σ = 323805081600. Its totient is φ = 20766720000.

The previous prime is 87428351993. The next prime is 87428352013. The reversal of 87428352000 is 25382478.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 87428352000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667391935 + ... + 667392065.

It is an arithmetic number, because the mean of its divisors is an integer number (421621200).

Almost surely, 2^87428352000 is an apocalyptic number.

87428352000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87428352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161902540800).

87428352000 is an abundant number, since it is smaller than the sum of its proper divisors (236376729600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87428352000 is a wasteful number, since it uses less digits than its factorization.

87428352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 87428352000 in words is "eighty-seven billion, four hundred twenty-eight million, three hundred fifty-two thousand".